With this argument attacking with a wand should also cost 2AP because you get the stats of a two handed weapon.
You don't though.
A mismatched weapon in the off-hand is effectively an empty hand, that still costs 1 AP per hit.
Having some stat bonuses if it happens to be enchanted is not an adequate compensation for the added AP cost, as you are quite likely to find a matching pair with similar bonuses for dual wielding.
Which is exactly why I made this thread: either the option to attack with both at 2 AP should exist, or the one that serves no function should not incur a cost increase.
To reiterate the armor provided by a shield is always active.
The damage provided by a weapon is only active when it attacks.
If a weapon increases the cost of an attack, but does not contribute to it's strength, it is not working correctly.
